Oscillation theorems of comparison type of delay differential equations with a nonlinear damping term

Said R. Grace

Mathematica Slovaca (1994)

  • Volume: 44, Issue: 3, page 303-314
  • ISSN: 0139-9918

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Grace, Said R.. "Oscillation theorems of comparison type of delay differential equations with a nonlinear damping term." Mathematica Slovaca 44.3 (1994): 303-314. <http://eudml.org/doc/31682>.

@article{Grace1994,
author = {Grace, Said R.},
journal = {Mathematica Slovaca},
keywords = {oscillatory behaviour; delay-differential equations},
language = {eng},
number = {3},
pages = {303-314},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Oscillation theorems of comparison type of delay differential equations with a nonlinear damping term},
url = {http://eudml.org/doc/31682},
volume = {44},
year = {1994},
}

TY - JOUR
AU - Grace, Said R.
TI - Oscillation theorems of comparison type of delay differential equations with a nonlinear damping term
JO - Mathematica Slovaca
PY - 1994
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 44
IS - 3
SP - 303
EP - 314
LA - eng
KW - oscillatory behaviour; delay-differential equations
UR - http://eudml.org/doc/31682
ER -

References

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  1. GRACE S. R., Oscillation criteria for forced functional differential equations with deviating arguments, J. Math. Anal. Appl. 145 (1990), 63-88. (1990) Zbl0724.34074MR1031176
  2. GRACE S. R., On the oscillatory and asymptotic behaviour of even order nonlinear differential equations with retarded arguments, J. Math. Anal. Appl. 137 (1989). 528-540. (1989) MR0984975
  3. GRACE S. R., Comparison theorems for forced functional differential equations, J. Math. Anal. Appl. 144 (1989), 168-182. (1989) Zbl0683.34040MR1022569
  4. GRACE S. R., LALLI B. S., An oscillation criterion for certain second order strongly sublinear differential equations, J. Math. Anal. Appl. 123 (1987), 584-586. (1987) Zbl0641.34031MR0883711
  5. GRACE S. R., LALLI B. S., Oscillatory and asymptotic behaviour of solutions of differential equations with deviating arguments, J. Math. Anal. Appl. 104 (1984). 79-91. (1984) MR0765041
  6. KIGURADZE I. T., On the oscillation of solutions of the equation d m u / d t m + a ( t ) | u | n sgn u = 0 , (Russian), Mat. Sb. 65 (1964), 172-187. (1964) Zbl0135.14302MR0173060
  7. KITAMURA Y., Oscillation of functional differential equations with general deviating arguments, Hiroshima Math. J. 15 (1985), 445-491. (1985) Zbl0599.34091MR0813572
  8. KUSANO T., NAITO M., Comparison theorems for functional differential equations with deviating arguments, J. Math. Soc. Japan. 33 (1981), 509-532. (1981) Zbl0494.34049MR0620288
  9. LADAS G., STAVROULAKIS I. P., Oscillations caused by several retarded and advanced arguments, 3. Differential Equations 44 (1982), 134-152. (1982) Zbl0452.34058MR0651691
  10. LALLI B. S., GRACE S. R., Some oscillation criteria for delay differential equations of even order, 3. Math. Anal. Appl. 119 (1986), 164-170. (1986) Zbl0608.34067MR0856665
  11. PHILOS, CH. G., On the existence of nonoscillatory solutions tending to zero at ∞ for differential equations with positive delays, Arch. Math. (Basel) 36 (1981). 168-178. (1981) MR0619435
  12. WONG J. S. W., BURTON T. A, Some properties of u ' ' + a ( t ) f ( u ) g ( u ' ) = 0 . , Monatsh. Math. 69 (1965), 364-374. (1965) MR0186885

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